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Finding the Fourth Proportional to 732.14, 1,097.57 and 320.96

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Solution

The fourth proportional to 732.14, 1,097.57 and 320.96 is: 481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.14 : 1,097.57 = 320.96 : x
  2. Step 2: Convert to fraction form
    732.14/1,097.57 = 320.96/x
  3. Step 3: Cross multiply
    732.14x = 1,097.57 × 320.96
  4. Step 4: Simplify right side
    732.14x = 352,268.97
  5. Step 5: Solve for x
    x = 352,268.97/732.14
  6. Step 6: Final answer
    x = 481.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.